Front Tracking for Hyperbolic Conservation Laws, 2002
Applied Mathematical Sciences Series, Vol. 152

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Language: English

Approximative price 52.74 €

In Print (Delivery period: 15 days).

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Front Tracking for Hyperbolic Conservation Laws
Publication date:
264 p. · 15.5x23.5 cm · Paperback

Approximative price 93.64 €

Subject to availability at the publisher.

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Front tracking for hyperbolic conservation laws
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362 p. · 16x24 cm · Hardback

This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research.

The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.

1 Introducation * 2 Scalar Conservation Laws * 3 A Short Course in Difference Methods * 4 Multidimensional Scalar Conservation Laws * 5 The Riemann Problem for Systems * 6 Existence of Solutions of the Cauchy Problem * 7 Wellposedness of the Cauchy Problem * A Total Variation, Compactedness, etc. * B The Method of Vanishing Viscosity * C Answers and Hints * References * Index

Only book on front tracking which covers these new results

Very well suited for graduate students

Includes supplementary material: sn.pub/extras